If an electromagnetic wave going through a medium is given by; 
\(E=E_{0}\sin\left ( kx-\omega t \right )\) and \(B=B_{0}\sin\left ( kx-\omega t \right ),\) then:

1.	\(E_0k = B_0 \omega\)
2.	If the electric field is in the \(z\text-\)direction then the magnetic field should be in the \(-y\text-\)direction
3.	Both 1 and 2 are correct
4.	Only 1 is correct

A lamp emits monochromatic green light uniformly in all directions. The lamp is \(3\%\) efficient in converting electrical power to electromagnetic waves and consumes \(100\) W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of \(5\) m from the lamp will be:
1. \(1.34\) V/m
2. \(2.68\) V/m
3. \(4.02\) V/m
4. \(5.36\) V/m

Displacement current is:

In a plane electromagnetic wave propagating in space has an electric field of amplitude $9\times {10}^3$ V/m, then the amplitude of the magnetic field is

(1) $2.7\times {10}^{12} T$

(2) $9.0\times {10}^{-3} T$

(3) $3.0\times {10}^{-4} T$

(4) $3.0\times {10}^{-5} T$

A plane electromagnetic wave of frequency 40 MHz travels in free space in the x-direction. At some point and at some instant, the electric field $\overrightarrow{E}$ has its maximum value of 750 N/C in y-direction. The wavelength of the wave is

(1) 3.5 m

(2) 5.5 m

(3) 7.5 m

(4) 9.5 m

A plane electromagnetic wave $E_z=100 \cos (6\times {10}^{8}t+4x) V/m$ propagates in a medium of dielectric constant

(1) 1.5

(2) 2.0

(3) 2.4

(4) 4.0

If ${\mu }_0$ be the permeability and $K_0$ the dielectric constant of a medium, its refractive index is given by

(1) $\frac{1}{\sqrt{{\mu }_0{K}_0}}$

(2) $\frac{1}{{\mu }_0{K}_0}$

(3) $\sqrt{K_0}$

(4) ${\mu }_0{K}_0$

If \(\varepsilon_0~\text{and}~\mu_0\) represent the permittivity and permeability of vacuum and \(\varepsilon~\text{and}~\mu\) represent the permittivity and permeability of the medium, the refractive index of the medium is given by:

The average energy - density of electromagnetic wave given by E = (50 N/C) sin($\omega t-kx)$ will be nearly

1. ${10}^{-8} J/m^3$

2. ${10}^{-7} J/m^3$

3. ${10}^{-6} J/m^3$

4. ${10}^{-5} J/m^3$